Some New Characterizations of Ideals in Non-involutive Residuated Lattices

被引：0

作者：

Liu, Chunhui ^{[1
]}

机构：

[1] Chifeng Univ, Sch Educ Sci, Chifeng 024000, Peoples R China

来源：

ADVANCES IN NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, ICNC-FSKD 2022 | 2023年 / 153卷

关键词：

Fuzzy logic; Non-involutive residuated lattice; Ideal; Filter; LOGIC;

D O I：

10.1007/978-3-031-20738-9_90

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we further study the properties and structural characteristics of ideals in non-involutive residuated lattices. On the one hand, some new equivalent characterizations of ideals are obtained in non-involutive residuated lattices. On the other hand, the relationship between the concepts of ideal and filter is discussed.

引用

页码：810 / 818

页数：9

共 15 条

[1]

[Anonymous], 2009, Introduction to Mathematical Logic and Resolution Principle

[2] Some properties of residuated lattices [J].

Belohlávek, R .

CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, 53 (01) :161-171

[3]

Chang C.C, 1958, T AM SOC, V87, P1

[4]

Dumitru B., 2014, SOFT COMPUT, V18, P825

[5] Monoidal t-norm based logic: towards a logic for left-continuous t-norms [J].

Esteva, F ;

Godo, L .

FUZZY SETS AND SYSTEMS, 2001, 124 (03) :271-288

[6]

HAJEK P., 1998, TRENDS LOGIC STUDIA, V4

[7]

Kondo M, 2010, ADV INTEL SOFT COMPU, V68, P343

[8]

[刘春辉 Liu Chunhui], 2015, [高校应用数学学报. A辑, Applied Mathematics. A Journal of Chinese Universities], V30, P445

[9] Ideals and fuzzy ideals on residuated lattices [J].

Liu, Yi ;

Qin, Ya ;

Qin, Xiaoyan ;

Xu, Yang .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2017, 8 (01) :239-253

[10] FUZZY LOGIC .2. ENRICHED RESIDUATED LATTICES AND SEMANTICS OF PROPOSITIONAL CALCULI [J].

PAVELKA, J .

ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1979, 25 (02) :119-134

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